What is the domain of sqrt((x+2)/(x-2)) ?

The domain of sqrt((x+2)/(x-2)) is x 2

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domain of sqrt((x+2)/(x-2))

domain

\frac{x + 2}{x - 2}

x \leq - 2 or x > 2

Interval Notation

(- \infty, - 2] \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x > 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x \leq - 2 or x > 2

2 x^{3} - 4 x^{2} + 8 x + 3

f (x) = (x + 4) (x + 5) (x + 8)

f (x) = \frac{7}{2} lo g_{6} (x^{2} + 3 x + 2)

\frac{2 x - 1}{x + 2}

y = x + sin (x), 0 \leq x \leq 2 π

What is the domain of sqrt((x+2)/(x-2)) ?
The domain of sqrt((x+2)/(x-2)) is x<=-2\lor x>2